Let U be a well defined universe; S be a well defined sample space. Let E= empty set.

Prove or disprove that Pr(E)=0

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- Sep 19th 2010, 11:35 AMnikie1o2prove pr(E)=0
Let U be a well defined universe; S be a well defined sample space. Let E= empty set.

Prove or disprove that Pr(E)=0 - Sep 19th 2010, 04:50 PMPlato
In the axioms of probability there are at most three axioms.

If $\displaystyle S$ is the space then $\displaystyle P(S)=1$.

If $\displaystyle A\cap B=\emptyset$ then $\displaystyle P(A\cup B)=P(A)+P(B)$.

Using those two it is easy to show that $\displaystyle P(\emptyset)=0 $ - Sep 19th 2010, 11:33 PMMoo
Probability axioms - Wikipedia, the free encyclopedia : the second one.

- Sep 20th 2010, 01:31 PMmatheagle
note that probability zero doesn't mean the set is empty

For example, the cubs have zero chance of ever winning a world series

and yet they may in 10,000 years